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SAT Subject Test Level 2 #3

Question 1: If the value of tan(-2a) is 2, what is the value of tan(2a)?

Question #2: What is sec(a)sin(a) + csc(a)cos(a) , if a = 45o?

Question #3: What is sin2(a)·cos2(a)·[1 + tan2(a)]?

Question #4: What are the polar coordinates of the point with (-5, 5) rectangular coordinates?

Question #5: What is the volume of the geometric solid produced by the equilateral triangle in the figure below when it is rotated 360o about the altitude m? Question #6: Solve for x in the following equation: x2 – 10x + 10 = 0.

Question #7: If log(x) = 2 and log(y) = 5, what is log(x2y3)?

Question #8: What is the greatest common factor of 17 and 81?

Question #9: In the (x,y) plane, which of the following statements are true?
I. Line y + x = 5 is perpendicular to line y - x = 5.
II. Lines y + x = 5 and y - x = 5 intersect each other on the y axis.
III. Lines y + x = 5 and y - x = 5 intersect each other on the x axis.

Question #10: Find the domain of the function f(x) = √( -x) / [(x - 2)(x + 2)]: